Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

7. a group of 150 students were asked about their favorite subject in s…

Question

  1. a group of 150 students were asked about their favorite subject in school. the circle graph shows the percentages of the survey results: (pie chart with labels: swimming 10%, basketball 30%, volleyball 15%, soccer 45%) based on the circle graph, how many more students chose basketball than students who chose swimming? 8. a group of 30 students were asked about their favorite genre of books. the circle graph shows the percentages of the survey results: (pie chart with labels: nonfiction 10%, romance 40%, horror 20%, mystery (remaining percentage)) based on the circle graph, how many students chose mystery?

Explanation:

Response
Question 7

Step1: Find number of basketball students

Total students = 150, Basketball % = 30%
Number of basketball students = \( 150 \times \frac{30}{100} = 45 \)

Step2: Find number of swimming students

Swimming % = 10%
Number of swimming students = \( 150 \times \frac{10}{100} = 15 \)

Step3: Find the difference

Difference = 45 - 15 = 30

Step1: Calculate total percentage of known genres

Romance: 40%, Horror: 20%, Nonfiction: 10%
Total known % = 40 + 20 + 10 = 70%

Step2: Find percentage of mystery

Mystery % = 100 - 70 = 30%

Step3: Calculate number of mystery students

Total students = 30
Number of mystery students = \( 30 \times \frac{30}{100} = 9 \)

Answer:

30

Question 8